Only the reasons need be given here, as the statements are already given in your figure.
Given
Given
Given
Definition of congruent line segments
Symmetric property of congruence
Addition and substitution properties of equality*
Segment addition theorem
Definition of congruent line segments
AAS congruence postulate
_____
* The addition property says if A=B, then A+C=B+C. The substitution property further says if C=D, then A+C=B+D (D can be substituted for C). IMO, both properties are needed together to get from A=B and C=D to A+B=C+D.
Answer:
0.24
Step-by-step explanation:
Twenty-four hundredths = 24/100 = 24×(1/100) = 24×0.01 = 0.24
_____
Both 24/100 and 0.24 are pronounced "twenty-four hundredths."
Answer:
x = 37°
Step-by-step explanation:
Given the triangle with two given exterior angles, m ∠107° and m ∠110°:
We can use the <u>exterior angle theorem</u> where it states that the measure of each exterior angle of a triangle is equal to the sum of the measures of the opposite and remote interior angles.
Start by finding the supplement of m ∠110°, that will serve as the other remote interior angle.
The supplement of ∠110° is:
∠110° + y = 180°
Where y = represents the other unknown interior angle.
Subtract ∠110° from both sides:
∠110° - ∠110° + y = 180° - ∠110°
y = 70°
Therefore, the other remote interior angle is y = 70°. Now, we can determine the value of x by establishing the following equation:
107° = x° + 70°
Subtract 70 from both sides:
107° - 70° = x° + 70°- 70°
x = 37°
CBD.
The two small lines on the base are similar, and it's a right angle, so the two are similar.
Also, the position of the points has to be the same in the triangle labels.
Huh? Can you put a picture?
